A new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with interference

作者：Ahn Choon Ki^*

来源：Signal Processing, 2014, 104: 225-231.

DOI：10.1016/j.sigpro.2014.03.035

• H-infinity criterion
• 2-D digital filters
• Fornasini-Marchesini second model
• Finite wordlength effects
• Linear matrix inequality (LMI)

Stability criteria have been proposed previously by Ahn for two-dimensional (2-D) digital filters described by the Roesser model with external interference. However, no stability criteria have yet been established for 2-D digital filters described by the Fornasini-Marchesini second model. In this paper, we propose a new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with saturation arithmetic and external interference. This new criterion guarantees that 2-D digital filters in this model are asymptotically stable with a guaranteed H-infinity performance. The criterion is described by linear matrix inequalities (LMIs). Illustrative examples show the effectiveness of the proposed new criterion.

• 出版日期2014-11